Study of Fractional Integral Operators Containing Mittag-Leffler Functions via Strongly α , m -Convex Functions

Abstract

The main aim of this paper is to give refinement of bounds of fractional integral operators involving extended generalized Mittag-Leffler functions. A new definition, namely, strongly $\left(\alpha ,m\right)$ -convex function is introduced to obtain improvements of bounds of fractional integral operators for convex, $m$ -convex, and $\left(\alpha ,m\right)$ -convex functions. The results of this paper will provide simultaneous generalizations as well as refinements of various published results.